Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials

被引：21
|
作者：
Wu, XP [1 ]
Tang, CL [1 ]
机构：
[1] SW Normal Univ, Dept Math, Chongqing 400715, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 06期
关键词：
periodic solution; second-order Hamiltonian system; coercivity; Sobolev's inequality; critical point;
D O I：
10.1016/j.na.2003.08.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some existence and multiplicity theorems are obtained for periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials by the least action principle and the minimax methods in critical point theory. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：759 / 769
页数：11
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